MATH 1310 Test 3 Review 10 Multiple Choice (worth 60 points)

Slides:



Advertisements
Similar presentations
Operations with Functions Objective: Perform operations with functions and find the composition of two functions.
Advertisements

Warm- UP F(x) = x + 2, g(x) = -x Add the two functions 2.Subtract the two functions 3.Multiply the two functions.
Thursday  Last Day for Test corrections  Retest 7:40am tomorrow.
 Simplify the following. Section Sum: 2. Difference: 3. Product: 4. Quotient: 5. Composition:
Domain Symmetry Function Operations Misc.Inverses.
SOLUTION EXAMPLE 4 Graph an equation in two variables Graph the equation y = – 2x – 1. STEP 1 Construct a table of values. x–2–1 012 y31 –3–5.
Unit 6 GA2 Test Review. Find the indicated real n th root ( s ) of a. a. n = 3, a = –216 b. n = 4, a = 81 SOLUTION b. Because n = 4 is even and a = 81.
Do Now Determine the open intervals over which the following function is increasing, decreasing, or constant. F(x) = | x + 1| + | x – 1| Determine whether.
Domains & Ranges I LOVE Parametric Equations Operations of Functions Inverse Functions Difference.
Chapter 7 7.6: Function Operations. Function Operations.
Math on the Mind. Composition of Functions Unit 3 Lesson 7.
Section 3.3 The Product and Quotient Rule. Consider the function –What is its derivative? –What if we rewrite it as a product –Now what is the derivative?
Lesson 2-8: Operations of Functions
Multiplication Facts Table of Contents 0’s 1’s 2’s 3’s 4’s 5’s 6’s 7’s 8’s 9’s 10’s.
September 27, 2012 Inverse of Functions Warm-up: f(x) = x 2 – 1 and Find the following compositions, then state the domain 1. (f o g)(x)2. (g o f)(x) CW.
Jeopardy Math Review Evaluating a Function Examining f(x) Examining the Graph of f(x) Combining Functions Inverses
December 6, 2012 AIM : How do we find the derivative of quotients? Do Now: Find the derivatives HW2.3b Pg #7 – 11 odd, 15, 65, 81, 95, 105 –
Graphing Log Functions Pre-Calculus. Graphing Logarithms Objectives:  Make connections between log functions and exponential functions  Construct a.
Module 7 Test Review. Formulas Shifting Functions  Given g(x) on a graph, f(x) = g(x) + 7 would mean that…..  Answer: g(x) would be shifted 7 units.
 Domain – all of the x-coordinates of a graph  Range – all of the y-coordinates of a graph  Notation ◦ Interval notation ◦ Set Notation  Proper use.
Warm Up Find the following: (f + g)(-1) = (g f)(x) = (g - f)(2) = (f /g)(x) =
Combinations of Functions: Composite Functions
3.5 Operations on Functions
Section 3.3 The Product and Quotient Rule
Quiz PowerPoint Review
Multiplication table. x
8.3 Properties of logarithms
Jeopardy!.
MATH 1310 Test 3 Review 10 Multiple Choice (worth 60 points)
5-Minute Check Lesson 1-2A
Chapter 2: Analysis of Graphs of Functions
5.1 Combining Functions Perform arithmetic operations on functions
Fall Break Chain Rule Review
MATH 1311 Section 1.4.
Properties of Functions
2-6: Combinations of Functions
2.6 Operations on Functions
Combinations of Functions
MATH 1314 Lesson 6: Derivatives.
1.2 Analyzing Graphs of Functions and Relations
MATH 1310 Section 3.6.
3.5 Operations on Functions
6-1: Operations on Functions (+ – x ÷)
Section 4.7 Laws of Logarithms.
MATH 1310 Section 2.8.
MATH 1310 Test 4 Review 10 Multiple Choice (70 points): Test 4
Functions Collection: notation, inverse, composite
MATH 1310 Test 3 Review 10 Multiple Choice (worth 60 points)
MATH 1310 Test 4 Review 10 Multiple Choice (70 points): Test 4
MATH 1310 Section 4.1.
Do Now Find the following: (f + g)(-1) = (g ͦ f)(x) = (g - f)(2) = (f /g)(x) =
MATH 1310 Section 2.8.
MATH 1310 Section 2.8.
Composition of Functions
MATH 1310 Section 3.6.
2.1 Functions.
Warm-up: Given f(x) = – 3x – 4 and g(x) = x2, find: (f + g)(1)
MATH 1310 Section 2.8.
MATH 1310 Test 4 Review 12 Multiple Choice (70 points): Test 4
MATH 1310 Test 4 Review 12 Multiple Choice (70 points): Test 4
2-6: Combinations of Functions
MATH 1310 Section 4.1.
f(x) g(x) x x (-8,5) (8,4) (8,3) (3,0) (-4,-1) (-7,-1) (3,-2) (0,-3)
MATH 1310 Section 4.3.
MATH 1310 Section 5.3.
2008 Multiple Choice.
MATH 1310 Section 4.3.
3.6-1 Combining Functions.
12 MATH WORDS Variable Evaluate Product Composite Fraction
Section MATH 1310 Section 3.2
Presentation transcript:

MATH 1310 Test 3 Review 10 Multiple Choice (worth 60 points) 4 Free Response (worth 40 points)

d. 𝑓 𝑥 = 𝑥+4 𝑥−8 e. 𝑓 𝑥 = 𝑥+4 𝑥+8

4. Determine if the following is a function: x2 + y2 = 25 y = x3 + 2x2 + 5x – 1 |y| = x d. e.

*

*

Popper 18 Answer Choice E for Questions 1 – 5

*

*

* 𝑐. 𝑓 𝑥 = 3𝑥+2 𝑥−1

14. Classify the function as Even, Odd or Neither 14. Classify the function as Even, Odd or Neither. Given the point (1, 1), what other point is guaranteed?

15. Evaluate the difference quotient for the function: f(x) = 2x2 + 8 * 𝑓 𝑥+ℎ −𝑓(𝑥) ℎ

16. Given the following table, determine the value of (fog)(4). x f(x) g(x) 3 2 1 -1 8 7 5 4

17. If f(x) and g(x) are inverse functions, and f(3) = 5, f(5) = 8, determine: f(g(2))

If f(x) = 3x + 5, find 𝑓 3 𝑎+2

Determine the difference quotient for f(x) = 3x2 + 6x – 8 *

Popper 19 Fill out choice D for Questions 1 – 5